physics - Curve fitting differential equations in Python -


i have curve of >1000 points fit differential equation in form of x'' = (a*x'' + b x' + c x + d), a,b,c,d constants. how proceed in doing using python 2.7?

certainly intend have third derivative on right.

group data in relatively small bins, possibly overlapping. each bin, compute cubic approximation of data. compute derivatives in center point of group. derivatives of groups have classical linear regression problem.

if samples equally spaced, might try move problem frequency space via fft. sensible truncation of data might problem here. in frequency space, task reduces polynomial linear regression.


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